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Sbornik: Mathematics, 2008, Volume 199, Issue 10, Pages 1523–1545
DOI: https://doi.org/10.1070/SM2008v199n10ABEH003971 (Mi sm3957) 		 
This article is cited in 38 scientific papers (total in 38 papers)

Eigenfunctions of the Sturm-Liouville problem on a star graph

V. V. Provotorov

Voronezh State University
English version PDF (316 kB) Citations (38)
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DOI: https://doi.org/10.1070/SM2008v199n10ABEH003971
Abstract: The paper considers the Sturm-Liouville problem on a star graph and is concerned with the structure and properties of the eigenvalues and eigenfunctions of this problem. Particular emphasis has been placed on the completeness of the system of eigenfunctions in the space of square-integrable functions and on the expansion of a given function as a generalized Fourier series in terms of this system. Such problems have great value in the study of boundary-value problems for linear partial differential equations on a graph by the Fourier method, and arise, for example, in the model of oscillatory processes in an elastic mast with supporting elastic guys.
Bibiliography: 8 titles.
Received: 17.10.2007 and 19.05.2008
Russian version:
Matematicheskii Sbornik, 2008, Volume 199, Number 10, Pages 105–126
DOI: https://doi.org/10.4213/sm3957
Bibliographic databases:
UDC: 517.927.25
MSC: 34L10, 34B25
Language: English
Original paper language: Russian
Citation: V. V. Provotorov, “Eigenfunctions of the Sturm-Liouville problem on a star graph”, Mat. Sb., 199:10 (2008), 105–126; Sb. Math., 199:10 (2008), 1523–1545
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v199/i10/p105
    • This publication is cited in the following 38 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:848
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    English version PDF:25
    References:56
    First page:13
     
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